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On the Oesterlé-Masser conjecture

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Abstract

Letx, y andz be positive integers such thatx=y+z and ged (x,y,z)=1. We give upper and lower bounds forx in terms of the greatest squarefree divisor ofx y z.

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Authors and Affiliations

  1. Department of Pure Mathematics, University of Waterloo, N2L 3G1, Waterloo, Ont., Canada

    C. L. Stewart

  2. Mathematical Institute, University of Leiden, NL-2300 RA, Leiden, The Netherlands

    R. Tijdeman

Authors
  1. C. L. Stewart
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  2. R. Tijdeman
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Dedicated to Professor E. Hlawka on the occasion of his seventieth birthday

The research of the first author was supported in part by Grant A3528 from the Natural Sciences and Engineering Research Council of Canada.

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Stewart, C.L., Tijdeman, R. On the Oesterlé-Masser conjecture. Monatshefte für Mathematik 102, 251–257 (1986). https://doi.org/10.1007/BF01294603

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